10359090000 has 1050 divisors, whose sum is σ = 45251085330. Its totient is φ = 2286144000.

The previous prime is 10359089977. The next prime is 10359090041. The reversal of 10359090000 is 9095301.

It can be written as a sum of positive squares in 5 ways, for example, as 3937311504 + 6421778496 = 62748^2 + 80136^2 .

It is a tau number, because it is divible by the number of its divisors (1050).

It is a super-3 number, since 3×10359090000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 357209986 + ... + 357210014.

Almost surely, 2^10359090000 is an apocalyptic number.

10359090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10359090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22625542665).

10359090000 is an abundant number, since it is smaller than the sum of its proper divisors (34891995330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10359090000 is an frugal number, since it uses more digits than its factorization.

10359090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The spelling of 10359090000 in words is "ten billion, three hundred fifty-nine million, ninety thousand".